Least Common Multiple of 369/964, 9961/5952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/964, 9961/5952 quickly i.e. 3675609/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/964, 9961/5952 is 3675609/4.

LCM(369/964, 9961/5952) = 3675609/4

LCM of 369/964, 9961/5952

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 369/964,9961/5952

Given numbers are 369/964,9961/5952

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 369,9961

Least Common Multiple of Numerators i.e. LCM of 369,9961 is 3675609.

GCF of Denominators means GCF of 964,5952 as per the given fractions.

GCF of 964,5952 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,9961

LCM of Fractions 369/964,9961/5952 is 3675609/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3675609

Least Common Multiple of 369,9961 with GCF Formula

Least Common Multiple of 369,9961 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 369,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,9961) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(369,9961) x common factors =1 x 1 = 1

LCM(369,9961) = ( 369 × 9961 ) / 1

LCM(369,9961) = 3675609 / 1

LCM(369,9961) = 3675609


Lets's calculate GCF of 964,5952

2 964, 5952
2 482, 2976
241, 1488

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3675609/4

Therefore the LCM of Fractions 369/964,9961/5952 is 3675609/4

Greatest Common Factor of 964,5952 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,5952 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Greatest Common Factor

We found the factors 964,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 964,5952 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 369/964, 9961/5952

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 369/964, 9961/5952?

Answer: LCM of Numerators as per given numbers 369/964, 9961/5952 is

LCM of Numerators i.e. for 369,9961 is 3675609

GCF of denominators i.e. for 964,5952 is 4.

Thus, LCM of Fractions is 3675609/4.Finally, LCM of Fractions for 369/964, 9961/5952 is 3675609/4.